What areas of math do you need to know in order to understand calculus

[TorqueDork]

What areas of math do you need to know in order to understand calculus? Let's assume all I have is up to a 6th grade education. Can you tell me what and how I might learn these things.

 

[micromass]

It all depends on what you mean with "understand". This isn't just a smartass comment though. You can easily pick up "calculus made easy" and work through it. You won't need much prerequisite knowledge. On the other hand, you have understanding at the level of Spivak's calculus, this requires a lot more effort and prerequisite knowledge.

A good book here is "Basic Mathematics" by Lang. This book contains everything you need in order to start learning calculus. It covers elementary mathematics in a concise and non-spoonfeeding manner. However, if you've never seen these kind of mathematics before, then this book might be difficult.

If the book is too difficult, then I highly recommend the books by Gelfand. Here is the first volume: https://www.amazon.com/dp/0817636773/?tag=pfamazon01-20
He has other books on trigonometry, functions and graphs, method of coordinates. It would be good to work through all of these books before starting calculus. And it would be good to work through Lang too.

 

[mathwonk]

algebra, geometry are basic, then trig and logs/exp are useful. have you read euclid's geometry? that is helpful. check out my notes for epsilon camp on my web site:

http://www.math.uga.edu/~roy/camp2011/10.pdf

 

[TorqueDork]

It all depends on what you mean with "understand". This isn't just a smartass comment though. You can easily pick up "calculus made easy" and work through it. You won't need much prerequisite knowledge. On the other hand, you have understanding at the level of Spivak's calculus, this requires a lot more effort and prerequisite knowledge.

A good book here is "Basic Mathematics" by Lang. This book contains everything you need in order to start learning calculus. It covers elementary mathematics in a concise and non-spoonfeeding manner. However, if you've never seen these kind of mathematics before, then this book might be difficult.

If the book is too difficult, then I highly recommend the books by Gelfand. Here is the first volume: https://www.amazon.com/dp/0817636773/?tag=pfamazon01-20
He has other books on trigonometry, functions and graphs, method of coordinates. It would be good to work through all of these books before starting calculus. And it would be good to work through Lang too.

Thanks so much! I am going with the latter book followed by Lang's

 

[Matrix0]

In order to understand calculus, you will need to have a strong foundation in basic math concepts such as arithmetic, algebra, and geometry. These concepts are typically covered in the early years of education, up to 6th grade. From there, you will need to learn more advanced concepts such as trigonometry, logarithms, and exponential functions. These may be introduced in a pre-calculus course or through independent study.

One way to learn these concepts is to take a pre-calculus course at your school or through an online platform. You can also find resources such as textbooks, videos, and practice problems online to supplement your learning. Additionally, working with a tutor or seeking help from a math teacher can also be beneficial.

It is important to note that understanding calculus also requires a solid understanding of problem-solving and critical thinking skills. These can be developed through practice and application of mathematical concepts.

Overall, learning calculus requires dedication and a willingness to learn and understand mathematical concepts. With the right resources and support, it is possible to build a strong foundation in math and eventually grasp the concepts of calculus.